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3 years ago

10

Samantha is building a miniature maze for a science experiment. she determines that she needs 6 yards of wood for the exterior w

alls. how many feet of wood must she by in order to build her maze?

1 answer:

Eduardwww [97]3 years ago

8 0

Answer:

18 ft

Step-by-step explanation:

Convert yards to feet:

6 yds 3 ft

------------ * ------------ = 18 ft

1 1 yd

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Write 342 to 1 significant figure

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Answer:

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Step-by-step explanation:

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3 years ago

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

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Read 2 more answers

Lol i need help again :p

MissTica

Answer:

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Step-by-step explanation:

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